Janice is preparing a recipe that calls for 3/4 cups of oil per serving. If janice needs to prepare 2 2/3 servings, how many cups of oil will she need?
Answer:
Janice will need 2 cups of oil.
Step-by-step explanation:
You know that Janice needs to prepare 2[tex]\frac{2}{3}[/tex] servings. A mixed number is a numerical way of representing a fraction greater than unity, that is, of representing fractions in which the numerator is greater than the denominator (improper fraction). To calculate the number of cups of oil needed, first it is convenient to transform the mixed number to an improper fraction. For that, the integer part is multiplied by the denominator and the numerator is added to it. The result obtained is the numerator of the improper fraction. The denominator is the same as that of the rational part of the mixed number.
In this case:
[tex]2\frac{2}{3} =\frac{3*2+2}{3} =\frac{8}{3}[/tex]
Knowing that the recipe calls for [tex]\frac{3}{4}[/tex] cups of oil per serving and Janice needs to prepare [tex]\frac{8}{3}[/tex] servings, you can apply the following rule of three: if [tex]\frac{3}{4}[/tex] cups of oil are required for 1 serving, [tex]\frac{8}{3}[/tex] servings how many cups of oil require?
[tex]cups of oil=\frac{\frac{8}{3}servings *\frac{3}{4}cups of oil }{1 serving}[/tex]
Solving:
cups of oil= 2
Janice will need 2 cups of oil.
17
The cost for dinner at a wedding venue in Austin is $32.50 per
person plus a rental fee of $475. Which equation can be used
to determine the total cost of dinner?
F(d) = 475d+ 32.50
G f(d) = 475 + 32.500
A fld) = 475d- 32.50
475/
I fld) = 32.500
Answer:
Step-by-step explanation:
Is their a 32.50d + 475? If not I don't know what the answer is because you have the same two things twice in a pattern.
Answer:
f(d) = 475 + 32.50dStep-by-step explanation:
Cost of dinner = $32.50 per personRental fee = $475Total cost per d persons:
f(d) = 475 + 32.50dPLEASE HELP!!
I dont understand stand how it works...
if possible, please explain how you got your answer.
Thanks!!
Answer:
C. 2.84%
Step-by-step explanation:
We are trying to figure out how much money will be made from the interest each year in percentage form so to set up the problem we need to first find the earnings from this year: 2,056.72 - 2,000 = 56.72
Then we will put 2,000 below that because that was the original full account deposit used to make the interest. 100 automatically goes on the other side because it is the full value of the percentage. Then solve the equation.
56.72 X
--------- = -------
2,000 100
To solve for X start by multiplying the diagonal numbers, in this case 56.72 and 100. Then divide by the remaining number, 2,000.
I hope this helps a little :)
4•f(6)-6•g(5)=?
i need help ASAP!
Answer:
6
Step-by-step explanation:
f(6) from the graph is -6
g(5) from the graph is -5
4*f(6)-6*g(5)=(4)(-6)-(6)(-5)=-24+30=6
The ratio of pens to pencils in Terrances case is 4:5. He has 16 pens.How many pencils does he have?
Answer:
20 pencils
Step-by-step explanation:
Ratio: 4:5 (4 to 5)
16: (?)
16 ÷ 4 (the 4 in 4:5) = 4
So:
4 x 5 = 20
Final Answer:
16:20
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
A man is climbing down from 100 feet high descending 30 feet per minute. Which of the following equation represent this situation
59.126 + 951.2 round to the nearest hundreths
Answer:
1010.33
(:
Step-by-step explanation:
Whats the answer for number 7?
A school play sells adult and child tickets. On Friday they sold 55 child tickets and 20 adult tickets for $200. On Saturday they sold 72 child tickets and 36 adult tickets for $306. What is the cost of a child ticket?
Answer:
$2
Step-by-step explanation:
Let, price of individual child ticket is $x, and price of individual adult ticket is $y.
Now, on Friday we can write an equation is 55x+20y=200....(1).
and on Saturday we can write an equation is 72x+36y=306.....(2).
so, Equation 1: 55x+20y=200
Equation 2: 72x+36y=306
now, we are going to solve both equations.
after solving you will find x=2 and y=4.5
Hence, we can say that the cost of child ticket is $2, and the cost of adult ticket is $4.50.
The cost of a child's ticket will be $2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Let, the price of an individual child ticket is $x, and the price of an individual adult ticket is $y.
Now, on Friday we can write an equation is 55x+20y=200....(1).
On Saturday we can write an equation is 72x+36y=306.....(2).
The first equation is:-
55x+20y=200
The second equation will be written as:-
72x+36y=306
Now, we are going to solve both equations. After solving you will find x=2 and y=4.5
Hence, we can say that the cost of a child ticket is $2, and the cost of an adult ticket is $4.50.
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Select three sets of numbers that can be the side lengths of a right triangle
5, 6, 8
7, 24, 25
8, 10, 12
20, 21, 29
12, 35, 37
Answer:
4th choice, 20, 21, 29 would be the answer.
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
a= 20, b= 21, c= 29 ( c has to be the C, hypotenuse, because it is the longest)
therefore,
20^2 + 21^2 = 29^2
into
400 + 441 = 841,
which is true, makes the Pythagorean Theorem work.
Question 6 of 10- POOS
GR6_Math_T3_FSQ_FY21 Question: 1-6
Joe concluded that the expression 3x + 15 + 2x is equivalent to the expression 5(x + 3). Which of these best explains how Joe reached his conclusion?
o dividing each term in the first expression by 3
combining like terms in the first expression and dividing each term by 3
combining like terms in the first expression and dividing each term by 5
subtracting 20 and applying the distributive property to the first expression
Answer:
The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Step-by-step explanation:
Joe concluded that the expression [tex]3x+15+2x[/tex] is equivalent to the expression [tex]5(x+3)[/tex].
Let's analyze each option :
a. Dividing each term in the first expression by 3.
If we perform this operation it will lead us to :
[tex]\frac{3x+15+2x}{3}=x+5+\frac{2}{3}x[/tex]
And if we sum each term ⇒ [tex]x+5+\frac{2}{3}x=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]
Which isn't equivalent to the expression [tex]5(x+3)[/tex]
b. Combining like terms in the first expression and dividing each term by 3.
If we perform this operation it will lead us to :
[tex]3x+15+2x=15+5x[/tex] ⇒
[tex]\frac{15+5x}{3}=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]
Which isn't equivalent to the expression [tex]5(x+3)[/tex]
c. Combining like terms in the first expression and dividing each term by 5.
If we perform this operation it will lead us to :
[tex]3x+15+2x=15+5x[/tex] ⇒ Now if we divide each term by 5 and then we multiply the expression by 5 (in order to keep the equivalence) ⇒
[tex]\frac{15+5x}{5}=3+x[/tex]
And then we multiply by 5 to keep the equivalence ⇒
[tex]5(3+x)[/tex]
Finally, using commutative properties ⇒ [tex]5(3+x)=5(x+3)[/tex]
Which is the same expression that Joe found.
The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Anyway, let's analyze option d. Subtracting 20 and applying the distributive property to the first expression :
[tex]3x+15+2x-20=-5+5x=5(-1+x)[/tex]
Which isn't equivalent to [tex]5(x+3)[/tex]
Answer: The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Step-by-step explanation:
Fitness center A has a $60 enrollment fee and costs $35 per month. Fitness center B has no enrollment fee and costs $45 per month.
A) Identity the variables then write system of linear equations to represent the situation.
B) In how many months will both fitness centers cost the same? What will the cost be? Use the substitution method to solve this real-world application.
Given :
Fitness center A has a $60 enrollment fee and costs $35 per month. Fitness center B has no enrollment fee and costs $45 per month.
To Find :
A) Identity the variables then write system of linear equations to represent the situation.
B) In how many months will both fitness centers cost the same? What will the cost be? Use the substitution method to solve this real-world application.
Solution :
a) Linear equation of center A :
F = 35x + 60 ...1)
Linear equation of center B :
F = 45x ...2)
b) Let, after n months both fitness centers cost the same fee :
So, 35m + 60 = 45m
10m = 60
m = 6 months
Putting value of m in equation 1) or 2) is :
F = (35×6) + 60 = $270 or F = 45×6 = $270 .
Therefore, the cost when they have same fee is $270 .
Hence, this is the required solution.
What is the slope of the line in the graph?
Pls helppp
Answer:
y = 1x +1
Step-by-step explanation:
1 is your b, you go up 1 over 1, 1/1, which equals 1. so your awnser is y=1x+1 :)
Can someone please help me with this please?!
The sum of three numbers is 27. The product of the first number times the third number is 56. The quotient of the second number divided by the first number is 1.5. If the first number is represented by x, the second number is represented by y, and the third number is represented by z, which of the systems of equations below can be used to determine the three numbers?
Answer:
The system of equations that can be used to determine the three numbers are equation 1 and 6
x + y + z = 27 ----- ( 1 )
37.33 x - 56 y + 0 = 0 ---- ( 6 )
Step-by-step explanation:
x + y + z = 27 ----- ( 1 )
x * z = 56 ------ ( 2 )
y / x = 1.5 -------- ( 3 )
from equation 3
x = y / 1.5 -------- ( 4 )
input equation 4 into ( 2 )
( y / 1.5 ) * z = 56
y * z = 37.33 ------ ( 5 )
from equation 5 ; z = 37.33 / y input back to equation 2
x ( 37.33 / y ) = 56
37.33 x = 56 y
37.33 x - 56 y + 0 = 0 ---- ( 6 )
Help plz suppose the length of the fence was 1 1/3 how would you change the number lines to solve the problem? Just do it plz
Answer:
Step-by-step explanation: sowwy I dunno
The number of female nurses in a country can be predicted using the function f(t)=7,300 + 25t, where t is the number of years since 2000. The number of male nurses can be predicted using the function m(t) = 2,500(1.02)t, where t is the number of years since 2000. About how many years will it take before the number of male nurses is expected to exceed the number of female nurses?
It take 2 years for the number of male nurses to exceed the number of female nurses.
Given:
f(t) = 7,300 + 25t
m(t) = [tex]2,500(1.02)^t[/tex]
To find the value of t at which m(t) > f(t).
Let's set up the inequality:
[tex]2,500(1.02)^t > 7,300 + 25t[/tex]
We can start with t = 0 (year 2000) and increment t until m(t) exceeds f(t).
For t = 0:
m(0) = [tex]2,500(1.02)^0[/tex] = 2,500
f(0) = 7,300
Since m(0) < f(0), increase t.
For t = 1:
m(1) = [tex]2,500(1.02)^1 =[/tex] 2,550
f(1) = 7,300 + 25(1) = 7,325
Since m(1) < f(1), increase t as
For t = 2:
m(2) = [tex]2,500(1.02)^2 =[/tex] 2,601
f(2) = 7,300 + 25(2) = 7,350
Since m(2) > f(2), the number of male nurses is expected to exceed the number of female nurses after 2 years since 2000.
Therefore, it will take about 2 years.
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What is the arc measure of this circle?
mCD=____ ?
Answer:
i think its just 80 degreed
Step-by-step explanation:
if you can please help me
Answer/Step-by-step explanation:
1. -14
2. 3
3. -3
4. 10
5. -8
1. 4 x -3 = -12 - 2 = 14
2. -3 x 2 = -6 + 9 = 3
3. 8 divided by 4 = 2 - 5 = -3
4. 3/2 = 1.5 x 2 = 3 + 7 = 10
5. -9/3 = -3 - 5 = -8
can you help me simplify this
Answer:
B) 17
Step-by-step explanation:
3(4)+5
12+5
Hanan buys a pair of shoes for $51.49 and a board game for $17.65. She pays with $80.00. How much change will Hanan get back?
$51.49+$17.65=$69.14
$80-$69.14=$10.86
PLSS PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
Answer:
m is greater than -4. The graph is correct.
Brad reads his favorite book for 114 hours each day. If he has read the book for 2212 hours so far, how many days has he read it? Show how you know.
Answer:
20 days
Step-by-step explanation:
2212 divided by 114 =19.40350877, so round it up to the nearest tenth, which is 20. he has read for 20 days
What is the radius and diameter of a circle 4.2 cm?
Answer:
is 4.2 the circumference
Step-by-step explanation:
Answer:
2.1 cm
Step-by-step explanation:
PLEASE HELP ME WITH ALGEBRA!! THANK YOU!!
Answer:
Maybe -2,0,2,4 but I'm not sureee
Eekkkkk sorryy
Rodger has $2.30 in dimes and nickels. They're five more dimes than nickels. Find the number of each kind of coin that he has
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HELP ASAP PLEASE
Larry has an account with amazon movies that costs him $75 per year to be a member of. He can rent movies for $3 each. He wants to keep under $300 per year. Solve the inequality that represents his situation for how many movies he can rent.
Answer:
300 is greater than 3x + 75
The equation you would use to solve would be
300=75+3x
x= the amount of movies he watches
meaning x= 75
300=75+3x
225=3x
x=75
he can rent up to 75 movies
Can someone actually help me please
Answer:
The second one y<2x-6
Step-by-step explanation:
Based on the shading we can tell that the sign is going to always be shaded on the right side. We see the line is dashed (its kinda hard to see) but a dashed line means none of the points on it can be part of the solution. If it was a solid line it would be ≤ and we see it's not so its <
Helppp me plzzzzz skjwmsnsnjsmsmsns
Answer:
y = -x + 8
Step-by-step explanation:
We are to write the expression is slope intercept format;
coordinate = (3,5)
slope = -1
The equation of a straight line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
y = mx + c
5 = -1 (3) + c
5 = -3 + c
c = 8
The equation of the line is ;
y = -x + 8
Tickets to a football game cost $6 per ticket write and equation that represents this relationship between tickets purchased and total cost . Use t to represent the number of tickets purchased and c to represent the total cost
Given:
Tickets to a football game cost $6 per ticket.
To find:
The equation that represents this relationship between tickets purchased and total cost.
Solution:
Let t represents the number of tickets purchased and c represents the total cost.
Cost of 1 ticket = $6
Cost of t ticket = $6t
Since, c is the total cost oft tickets, therefore the equation for given situation is
[tex]c=6t[/tex]
Therefore, the required equation is [tex]c=6t[/tex].